Dodecahedron Volume Calculator
Easily calculate the volume of a regular dodecahedron by entering its edge length. Get instant results and visualize the shape.
Enter the edge length of the regular dodecahedron to calculate its volume.
units
Visual Representation
Regular Dodecahedron
What is a Dodecahedron?
A dodecahedron is a polyhedron with 12 faces. A regular dodecahedron is one of the five Platonic solids, with each face being a regular pentagon. It has 20 vertices and 30 edges.
Volume Formula
The volume (V) of a regular dodecahedron can be calculated using the edge length (a) with the following formula:
$$ V = \frac{15 + 7\sqrt{5}}{4} a^3 $$
This formula is derived from geometric principles and is widely used in mathematics and related fields.
How to Use This Calculator
- Enter the length of one edge of the dodecahedron in the input field.
- Click the "Calculate" button to compute the volume.
- The calculated volume will be displayed in the Volume field.
- Use the "Copy" button to copy the volume to your clipboard.
- Click "Reset" to clear the input and output fields.
This tool is designed for educational purposes and for quick calculations related to geometry.